106554160 has 40 divisors (see below), whose sum is σ = 249202800. Its totient is φ = 42369792.

The previous prime is 106554137. The next prime is 106554163. The reversal of 106554160 is 61455601.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×106554160² = 22707578026611200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106554163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9991 + ... + 17689.

It is an arithmetic number, because the mean of its divisors is an integer number (6230070).

Almost surely, 2^106554160 is an apocalyptic number.

106554160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106554160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124601400).

106554160 is an abundant number, since it is smaller than the sum of its proper divisors (142648640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106554160 is a wasteful number, since it uses less digits than its factorization.

106554160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7885 (or 7879 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 106554160 is about 10322.5074473211. The cubic root of 106554160 is about 474.0856426876.

It can be divided in two parts, 1065541 and 60, that added together give a palindrome (1065601).

The spelling of 106554160 in words is "one hundred six million, five hundred fifty-four thousand, one hundred sixty".